Wrong!
Ampere-hours is the product of current and time.
Which is NOT a current per hour, which would infer current divided by time.
A practical example.
A battery is rated at 50 AH (ampere-hour), this means that the battery will give 1 amp for 50 hours, or 5 amps for 10 hours, or 50 amps for 1 hour.
However, it is not a simple as that. As a general rule, the higher the current, the lower will be the ampere-hour rating.
If the manufacturer of our 50AH battery is careful with his specifications he may say the battery is rated 50AH (5amp rate).
Which means that the battery will supply 5 amps for 10hours.
If we do some tests we may find that we get 1 amp for 60hours, but 50 amps for only half an hour.
JimB